1. Thermodynamics and Statistical Physics
Lecture 27
Chemical potentials and phase equilibria (Chapter 7 in STP)
Phase diagrams
Clausius-Clapeyron equation
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PHY 341/641 Spring Lecture 24

2. Reminder – second exam in April
-- student presentations 4/30, 5/2 (need to pick topics)
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PHY 341/641 Spring Lecture 24

3. Thermodynamic description of the equilibrium between two forms “phases” of a material under conditions of constant T and P
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PHY 341/641 Spring Lecture 24

4. Example of phase diagram :
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PHY 341/641 Spring Lecture 24

5. Phase diagram for water:
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6. piston
T,P A B
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7. piston
T,P A B
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8. gA < gB gA > gB P T 7/29/2019
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10. Journal de l'École polytechnique 23: 153–190 (1834)
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11. Annalen der Physik Volume 155, Issue 4, pages 500–524, 1850
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16. Approximate liquid-gas vaporization curve from Clausius-Clapeyron equation:
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PHY 341/641 Spring Lecture 24